Condensed Consolidated Statements of Equity - USD ($) shares in Thousands, $ in Thousands	Total	Class A Common Stock	Class B Common Stock	Common Stock Class A Common Stock	Common Stock Class B Common Stock	Additional Paid-in Capital	Retained Earnings	Accumulated Other Comprehensive Loss	Total SSI Shareholders' Equity	Noncontrolling Interests
Beginning balance at Aug. 31, 2021	$ 839,779			$ 27,332	$ 200	$ 49,074	$ 793,712	$ (34,554)	$ 835,764	$ 4,015
Beginning balance (in shares) at Aug. 31, 2021				27,332	200
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net (loss) income	85,441						83,814		83,814	1,627
Other comprehensive Income (loss), net of tax	116							116	116
Distributions to noncontrolling interests	(1,785)									(1,785)
Share repurchases	(7,865)			$ (200)		(7,665)			(7,865)
Share repurchase (in shares)				(200)
Issuance of restricted stock				$ 479		(479)
Issuance of restricted stock (in shares)				479
Restricted stock withheld for taxes	(9,577)			$ (178)		(9,399)			(9,577)
Restricted stock withheld for taxes (in shares)				(178)
Share-based compensation cost	9,290					9,290			9,290
Dividends	(10,750)						(10,750)		(10,750)
Ending balance at Feb. 28, 2022	904,649			$ 27,433	$ 200	40,821	866,776	(34,438)	900,792	3,857
Ending balance (in shares) at Feb. 28, 2022				27,433	200
Beginning balance at Nov. 30, 2021	874,756			$ 27,624	$ 200	43,641	834,504	(35,279)	870,690	4,066
Beginning balance (in shares) at Nov. 30, 2021				27,624	200
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net (loss) income	38,165						37,615		37,615	550
Other comprehensive Income (loss), net of tax	841							841	841
Distributions to noncontrolling interests	(759)									(759)
Share repurchases	(7,865)			$ (200)		(7,665)			(7,865)
Share repurchase (in shares)				(200)
Issuance of restricted stock				$ 9		(9)
Issuance of restricted stock (in shares)				9
Share-based compensation cost	4,854					4,854			4,854
Dividends	(5,343)						(5,343)		(5,343)
Ending balance at Feb. 28, 2022	904,649			$ 27,433	$ 200	40,821	866,776	(34,438)	900,792	3,857
Ending balance (in shares) at Feb. 28, 2022				27,433	200
Beginning balance at Aug. 31, 2022	958,474			$ 26,747	$ 200	22,975	941,146	(37,089)	953,979	4,495
Beginning balance (in shares) at Aug. 31, 2022		26,747	200	26,747	200
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net (loss) income	(13,284)						(13,435)		(13,435)	151
Other comprehensive Income (loss), net of tax	(3,516)							(3,516)	(3,516)
Distributions to noncontrolling interests	(1,155)									(1,155)
Issuance of restricted stock				$ 762		(762)
Issuance of restricted stock (in shares)				762
Restricted stock withheld for taxes	(6,809)			$ (254)		(6,555)			(6,809)
Restricted stock withheld for taxes (in shares)				(254)
Share-based compensation cost	5,173					5,173			5,173
Dividends	(10,445)						(10,445)		(10,445)
Ending balance at Feb. 28, 2023	928,438			$ 27,255	$ 200	20,831	917,266	(40,605)	924,947	3,491
Ending balance (in shares) at Feb. 28, 2023		27,255	200	27,255	200
Beginning balance at Nov. 30, 2022	928,504			$ 27,165	$ 200	18,582	918,094	(39,302)	924,739	3,765
Beginning balance (in shares) at Nov. 30, 2022				27,165	200
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net (loss) income	4,272						4,353		4,353	(81)
Other comprehensive Income (loss), net of tax	(1,303)							(1,303)	(1,303)
Distributions to noncontrolling interests	(193)									(193)
Issuance of restricted stock				$ 90		(90)
Issuance of restricted stock (in shares)				90
Restricted stock withheld for taxes	(2)					(2)			(2)
Share-based compensation cost	2,341					2,341			2,341
Dividends	(5,181)						(5,181)		(5,181)
Ending balance at Feb. 28, 2023	$ 928,438			$ 27,255	$ 200	$ 20,831	$ 917,266	$ (40,605)	$ 924,947	$ 3,491
Ending balance (in shares) at Feb. 28, 2023		27,255	200	27,255	200